Prime p₀= 2810406792441368147 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(18)	2810405051103682477	0 22 84 90 100 184 214 250 280 384 414 450 480 564 574 580 642 664	-1741337685670
SPT(16)	2810405112360299621	0 12 62 98 128 150 180 206 282 308 338 360 390 426 476 488	-1680081068526
SPT(16)	2810405241828671857	0 40 66 102 130 144 166 192 214 240 262 276 304 340 366 406	-1550612696290
SPT(16)	2810406108983292341	0 26 56 62 126 140 152 170 198 216 228 242 306 312 342 368	-683458075806
SPT(16)	2810406376999891231	0 42 58 132 156 162 172 178 210 216 226 232 256 330 346 388	-415441476916
SPT(16)	2810406590022870911	0 2 102 132 146 230 272 300 308 336 378 462 476 506 606 608	-202418497236
STPT(10)	2810406850268208857	0 2 12 14 42 44 72 74 84 86	57826840710
STPT(10)	2810406980681469287	0 2 30 32 42 44 54 56 84 86	188240101140
SPT(16)	2810407285106503447	0 10 16 54 66 124 126 136 144 154 156 214 226 264 270 280	492665135300
SPT(16)	2810407298145845429	0 20 42 72 78 92 110 128 132 150 168 182 188 218 240 260	505704477282
STPT(10)	2810407313761097261	0 2 30 32 78 80 126 128 156 158	521319729114